What is the Greatest Common Factor of 65625 and 65642?
Greatest common factor (GCF) of 65625 and 65642 is 1.
GCF(65625,65642) = 1
We will now calculate the prime factors of 65625 and 65642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65625 and 65642.
How to find the GCF of 65625 and 65642?
We will first find the prime factorization of 65625 and 65642. After we will calculate the factors of 65625 and 65642 and find the biggest common factor number .
Step-1: Prime Factorization of 65625
Prime factors of 65625 are 3, 5, 7. Prime factorization of 65625 in exponential form is:
65625 = 31 × 55 × 71
Step-2: Prime Factorization of 65642
Prime factors of 65642 are 2, 23, 1427. Prime factorization of 65642 in exponential form is:
65642 = 21 × 231 × 14271
Step-3: Factors of 65625
List of positive integer factors of 65625 that divides 65625 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 625, 875, 1875, 2625, 3125, 4375, 9375, 13125, 21875
Step-4: Factors of 65642
List of positive integer factors of 65642 that divides 65625 without a remainder.
1, 2, 23, 46, 1427, 2854, 32821
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 65625 and 65642. The biggest common factor number is the GCF number.
So the greatest common factor 65625 and 65642 is 1.
Also check out the Least Common Multiple of 65625 and 65642
Related Greatest Common Factors of 65625
- GCF of 65625 and 65629
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- GCF of 65625 and 65641
- GCF of 65625 and 65642
- GCF of 65625 and 65643
- GCF of 65625 and 65644
- GCF of 65625 and 65645
Related Greatest Common Factors of 65642
- GCF of 65642 and 65646
- GCF of 65642 and 65647
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- GCF of 65642 and 65649
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- GCF of 65642 and 65651
- GCF of 65642 and 65652
- GCF of 65642 and 65653
- GCF of 65642 and 65654
- GCF of 65642 and 65655
- GCF of 65642 and 65656
- GCF of 65642 and 65657
- GCF of 65642 and 65658
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