What is the Greatest Common Factor of 77525 and 77545?

Greatest common factor (GCF) of 77525 and 77545 is 5.

GCF(77525,77545) = 5

We will now calculate the prime factors of 77525 and 77545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77525 and 77545.

How to find the GCF of 77525 and 77545?

We will first find the prime factorization of 77525 and 77545. After we will calculate the factors of 77525 and 77545 and find the biggest common factor number .

Step-1: Prime Factorization of 77525

Prime factors of 77525 are 5, 7, 443. Prime factorization of 77525 in exponential form is:

77525 = 5² × 7¹ × 443¹

Step-2: Prime Factorization of 77545

Prime factors of 77545 are 5, 13, 1193. Prime factorization of 77545 in exponential form is:

77545 = 5¹ × 13¹ × 1193¹

Step-3: Factors of 77525

List of positive integer factors of 77525 that divides 77525 without a remainder.

1, 5, 7, 25, 35, 175, 443, 2215, 3101, 11075, 15505

Step-4: Factors of 77545

List of positive integer factors of 77545 that divides 77525 without a remainder.

1, 5, 13, 65, 1193, 5965, 15509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77525 and 77545. The biggest common factor number is the GCF number.
So the greatest common factor 77525 and 77545 is 5.

Also check out the Least Common Multiple of 77525 and 77545