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What is the Greatest Common Factor of 77611 and 77625?

Greatest common factor (GCF) of 77611 and 77625 is 1.

GCF(77611,77625) = 1

We will now calculate the prime factors of 77611 and 77625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77611 and 77625.

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How to find the GCF of 77611 and 77625?

We will first find the prime factorization of 77611 and 77625. After we will calculate the factors of 77611 and 77625 and find the biggest common factor number .

Step-1: Prime Factorization of 77611

Prime factors of 77611 are 77611. Prime factorization of 77611 in exponential form is:

77611 = 776111

Step-2: Prime Factorization of 77625

Prime factors of 77625 are 3, 5, 23. Prime factorization of 77625 in exponential form is:

77625 = 33 × 53 × 231

Step-3: Factors of 77611

List of positive integer factors of 77611 that divides 77611 without a remainder.

1

Step-4: Factors of 77625

List of positive integer factors of 77625 that divides 77611 without a remainder.

1, 3, 5, 9, 15, 23, 25, 27, 45, 69, 75, 115, 125, 135, 207, 225, 345, 375, 575, 621, 675, 1035, 1125, 1725, 2875, 3105, 3375, 5175, 8625, 15525, 25875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77611 and 77625. The biggest common factor number is the GCF number.
So the greatest common factor 77611 and 77625 is 1.

Also check out the Least Common Multiple of 77611 and 77625