What is the Greatest Common Factor of 97130 and 97140?

Greatest common factor (GCF) of 97130 and 97140 is 10.

GCF(97130,97140) = 10

We will now calculate the prime factors of 97130 and 97140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97130 and 97140.

How to find the GCF of 97130 and 97140?

We will first find the prime factorization of 97130 and 97140. After we will calculate the factors of 97130 and 97140 and find the biggest common factor number .

Step-1: Prime Factorization of 97130

Prime factors of 97130 are 2, 5, 11, 883. Prime factorization of 97130 in exponential form is:

97130 = 2¹ × 5¹ × 11¹ × 883¹

Step-2: Prime Factorization of 97140

Prime factors of 97140 are 2, 3, 5, 1619. Prime factorization of 97140 in exponential form is:

97140 = 2² × 3¹ × 5¹ × 1619¹

Step-3: Factors of 97130

List of positive integer factors of 97130 that divides 97130 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 883, 1766, 4415, 8830, 9713, 19426, 48565

Step-4: Factors of 97140

List of positive integer factors of 97140 that divides 97130 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1619, 3238, 4857, 6476, 8095, 9714, 16190, 19428, 24285, 32380, 48570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97130 and 97140. The biggest common factor number is the GCF number.
So the greatest common factor 97130 and 97140 is 10.

Also check out the Least Common Multiple of 97130 and 97140