What is the Greatest Common Factor of 97625 and 97630?

Greatest common factor (GCF) of 97625 and 97630 is 5.

GCF(97625,97630) = 5

We will now calculate the prime factors of 97625 and 97630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97625 and 97630.

How to find the GCF of 97625 and 97630?

We will first find the prime factorization of 97625 and 97630. After we will calculate the factors of 97625 and 97630 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 97630

Prime factors of 97630 are 2, 5, 13, 751. Prime factorization of 97630 in exponential form is:

97630 = 2¹ × 5¹ × 13¹ × 751¹

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 97630

List of positive integer factors of 97630 that divides 97625 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 751, 1502, 3755, 7510, 9763, 19526, 48815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97625 and 97630. The biggest common factor number is the GCF number.
So the greatest common factor 97625 and 97630 is 5.

Also check out the Least Common Multiple of 97625 and 97630