What is the Greatest Common Factor of 7636 and 7648?
Greatest common factor (GCF) of 7636 and 7648 is 4.
GCF(7636,7648) = 4
We will now calculate the prime factors of 7636 and 7648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7636 and 7648.
How to find the GCF of 7636 and 7648?
We will first find the prime factorization of 7636 and 7648. After we will calculate the factors of 7636 and 7648 and find the biggest common factor number .
Step-1: Prime Factorization of 7636
Prime factors of 7636 are 2, 23, 83. Prime factorization of 7636 in exponential form is:
7636 = 22 × 231 × 831
Step-2: Prime Factorization of 7648
Prime factors of 7648 are 2, 239. Prime factorization of 7648 in exponential form is:
7648 = 25 × 2391
Step-3: Factors of 7636
List of positive integer factors of 7636 that divides 7636 without a remainder.
1, 2, 4, 23, 46, 83, 92, 166, 332, 1909, 3818
Step-4: Factors of 7648
List of positive integer factors of 7648 that divides 7636 without a remainder.
1, 2, 4, 8, 16, 32, 239, 478, 956, 1912, 3824
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7636 and 7648. The biggest common factor number is the GCF number.
So the greatest common factor 7636 and 7648 is 4.
Also check out the Least Common Multiple of 7636 and 7648
Related Greatest Common Factors of 7636
- GCF of 7636 and 7640
- GCF of 7636 and 7641
- GCF of 7636 and 7642
- GCF of 7636 and 7643
- GCF of 7636 and 7644
- GCF of 7636 and 7645
- GCF of 7636 and 7646
- GCF of 7636 and 7647
- GCF of 7636 and 7648
- GCF of 7636 and 7649
- GCF of 7636 and 7650
- GCF of 7636 and 7651
- GCF of 7636 and 7652
- GCF of 7636 and 7653
- GCF of 7636 and 7654
- GCF of 7636 and 7655
- GCF of 7636 and 7656
Related Greatest Common Factors of 7648
- GCF of 7648 and 7652
- GCF of 7648 and 7653
- GCF of 7648 and 7654
- GCF of 7648 and 7655
- GCF of 7648 and 7656
- GCF of 7648 and 7657
- GCF of 7648 and 7658
- GCF of 7648 and 7659
- GCF of 7648 and 7660
- GCF of 7648 and 7661
- GCF of 7648 and 7662
- GCF of 7648 and 7663
- GCF of 7648 and 7664
- GCF of 7648 and 7665
- GCF of 7648 and 7666
- GCF of 7648 and 7667
- GCF of 7648 and 7668