What is the Greatest Common Factor of 97625 and 97645?

Greatest common factor (GCF) of 97625 and 97645 is 5.

GCF(97625,97645) = 5

We will now calculate the prime factors of 97625 and 97645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97625 and 97645.

How to find the GCF of 97625 and 97645?

We will first find the prime factorization of 97625 and 97645. After we will calculate the factors of 97625 and 97645 and find the biggest common factor number .

Step-1: Prime Factorization of 97625

Prime factors of 97625 are 5, 11, 71. Prime factorization of 97625 in exponential form is:

97625 = 5³ × 11¹ × 71¹

Step-2: Prime Factorization of 97645

Prime factors of 97645 are 5, 59, 331. Prime factorization of 97645 in exponential form is:

97645 = 5¹ × 59¹ × 331¹

Step-3: Factors of 97625

List of positive integer factors of 97625 that divides 97625 without a remainder.

1, 5, 11, 25, 55, 71, 125, 275, 355, 781, 1375, 1775, 3905, 8875, 19525

Step-4: Factors of 97645

List of positive integer factors of 97645 that divides 97625 without a remainder.

1, 5, 59, 295, 331, 1655, 19529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97625 and 97645. The biggest common factor number is the GCF number.
So the greatest common factor 97625 and 97645 is 5.

Also check out the Least Common Multiple of 97625 and 97645