What is the Greatest Common Factor of 7460 and 7464?
Greatest common factor (GCF) of 7460 and 7464 is 4.
GCF(7460,7464) = 4
We will now calculate the prime factors of 7460 and 7464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7460 and 7464.
How to find the GCF of 7460 and 7464?
We will first find the prime factorization of 7460 and 7464. After we will calculate the factors of 7460 and 7464 and find the biggest common factor number .
Step-1: Prime Factorization of 7460
Prime factors of 7460 are 2, 5, 373. Prime factorization of 7460 in exponential form is:
7460 = 22 × 51 × 3731
Step-2: Prime Factorization of 7464
Prime factors of 7464 are 2, 3, 311. Prime factorization of 7464 in exponential form is:
7464 = 23 × 31 × 3111
Step-3: Factors of 7460
List of positive integer factors of 7460 that divides 7460 without a remainder.
1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730
Step-4: Factors of 7464
List of positive integer factors of 7464 that divides 7460 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7460 and 7464. The biggest common factor number is the GCF number.
So the greatest common factor 7460 and 7464 is 4.
Also check out the Least Common Multiple of 7460 and 7464
Related Greatest Common Factors of 7460
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- GCF of 7460 and 7471
- GCF of 7460 and 7472
- GCF of 7460 and 7473
- GCF of 7460 and 7474
- GCF of 7460 and 7475
- GCF of 7460 and 7476
- GCF of 7460 and 7477
- GCF of 7460 and 7478
- GCF of 7460 and 7479
- GCF of 7460 and 7480
Related Greatest Common Factors of 7464
- GCF of 7464 and 7468
- GCF of 7464 and 7469
- GCF of 7464 and 7470
- GCF of 7464 and 7471
- GCF of 7464 and 7472
- GCF of 7464 and 7473
- GCF of 7464 and 7474
- GCF of 7464 and 7475
- GCF of 7464 and 7476
- GCF of 7464 and 7477
- GCF of 7464 and 7478
- GCF of 7464 and 7479
- GCF of 7464 and 7480
- GCF of 7464 and 7481
- GCF of 7464 and 7482
- GCF of 7464 and 7483
- GCF of 7464 and 7484