What is the Greatest Common Factor of 97940 and 97950?

Greatest common factor (GCF) of 97940 and 97950 is 10.

GCF(97940,97950) = 10

We will now calculate the prime factors of 97940 and 97950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97940 and 97950.

How to find the GCF of 97940 and 97950?

We will first find the prime factorization of 97940 and 97950. After we will calculate the factors of 97940 and 97950 and find the biggest common factor number .

Step-1: Prime Factorization of 97940

Prime factors of 97940 are 2, 5, 59, 83. Prime factorization of 97940 in exponential form is:

97940 = 2² × 5¹ × 59¹ × 83¹

Step-2: Prime Factorization of 97950

Prime factors of 97950 are 2, 3, 5, 653. Prime factorization of 97950 in exponential form is:

97950 = 2¹ × 3¹ × 5² × 653¹

Step-3: Factors of 97940

List of positive integer factors of 97940 that divides 97940 without a remainder.

1, 2, 4, 5, 10, 20, 59, 83, 118, 166, 236, 295, 332, 415, 590, 830, 1180, 1660, 4897, 9794, 19588, 24485, 48970

Step-4: Factors of 97950

List of positive integer factors of 97950 that divides 97940 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 653, 1306, 1959, 3265, 3918, 6530, 9795, 16325, 19590, 32650, 48975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97940 and 97950. The biggest common factor number is the GCF number.
So the greatest common factor 97940 and 97950 is 10.

Also check out the Least Common Multiple of 97940 and 97950