What is the Greatest Common Factor of 97090 and 97100?

Greatest common factor (GCF) of 97090 and 97100 is 10.

GCF(97090,97100) = 10

We will now calculate the prime factors of 97090 and 97100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97090 and 97100.

How to find the GCF of 97090 and 97100?

We will first find the prime factorization of 97090 and 97100. After we will calculate the factors of 97090 and 97100 and find the biggest common factor number .

Step-1: Prime Factorization of 97090

Prime factors of 97090 are 2, 5, 7, 19, 73. Prime factorization of 97090 in exponential form is:

97090 = 2¹ × 5¹ × 7¹ × 19¹ × 73¹

Step-2: Prime Factorization of 97100

Prime factors of 97100 are 2, 5, 971. Prime factorization of 97100 in exponential form is:

97100 = 2² × 5² × 971¹

Step-3: Factors of 97090

List of positive integer factors of 97090 that divides 97090 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 73, 95, 133, 146, 190, 266, 365, 511, 665, 730, 1022, 1330, 1387, 2555, 2774, 5110, 6935, 9709, 13870, 19418, 48545

Step-4: Factors of 97100

List of positive integer factors of 97100 that divides 97090 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 971, 1942, 3884, 4855, 9710, 19420, 24275, 48550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97090 and 97100. The biggest common factor number is the GCF number.
So the greatest common factor 97090 and 97100 is 10.

Also check out the Least Common Multiple of 97090 and 97100