What is the Greatest Common Factor of 97560 and 97567?

Greatest common factor (GCF) of 97560 and 97567 is 1.

GCF(97560,97567) = 1

We will now calculate the prime factors of 97560 and 97567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97560 and 97567.

How to find the GCF of 97560 and 97567?

We will first find the prime factorization of 97560 and 97567. After we will calculate the factors of 97560 and 97567 and find the biggest common factor number .

Step-1: Prime Factorization of 97560

Prime factors of 97560 are 2, 3, 5, 271. Prime factorization of 97560 in exponential form is:

97560 = 2³ × 3² × 5¹ × 271¹

Step-2: Prime Factorization of 97567

Prime factors of 97567 are 43, 2269. Prime factorization of 97567 in exponential form is:

97567 = 43¹ × 2269¹

Step-3: Factors of 97560

List of positive integer factors of 97560 that divides 97560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 271, 360, 542, 813, 1084, 1355, 1626, 2168, 2439, 2710, 3252, 4065, 4878, 5420, 6504, 8130, 9756, 10840, 12195, 16260, 19512, 24390, 32520, 48780

Step-4: Factors of 97567

List of positive integer factors of 97567 that divides 97560 without a remainder.

1, 43, 2269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97560 and 97567. The biggest common factor number is the GCF number.
So the greatest common factor 97560 and 97567 is 1.

Also check out the Least Common Multiple of 97560 and 97567