What is the Greatest Common Factor of 97619 and 97632?

Greatest common factor (GCF) of 97619 and 97632 is 1.

GCF(97619,97632) = 1

We will now calculate the prime factors of 97619 and 97632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97619 and 97632.

How to find the GCF of 97619 and 97632?

We will first find the prime factorization of 97619 and 97632. After we will calculate the factors of 97619 and 97632 and find the biggest common factor number .

Step-1: Prime Factorization of 97619

Prime factors of 97619 are 31, 47, 67. Prime factorization of 97619 in exponential form is:

97619 = 31¹ × 47¹ × 67¹

Step-2: Prime Factorization of 97632

Prime factors of 97632 are 2, 3, 113. Prime factorization of 97632 in exponential form is:

97632 = 2⁵ × 3³ × 113¹

Step-3: Factors of 97619

List of positive integer factors of 97619 that divides 97619 without a remainder.

1, 31, 47, 67, 1457, 2077, 3149

Step-4: Factors of 97632

List of positive integer factors of 97632 that divides 97619 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 113, 144, 216, 226, 288, 339, 432, 452, 678, 864, 904, 1017, 1356, 1808, 2034, 2712, 3051, 3616, 4068, 5424, 6102, 8136, 10848, 12204, 16272, 24408, 32544, 48816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97619 and 97632. The biggest common factor number is the GCF number.
So the greatest common factor 97619 and 97632 is 1.

Also check out the Least Common Multiple of 97619 and 97632