What is the Greatest Common Factor of 69359 and 69372?

Greatest common factor (GCF) of 69359 and 69372 is 1.

GCF(69359,69372) = 1

We will now calculate the prime factors of 69359 and 69372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69359 and 69372.

How to find the GCF of 69359 and 69372?

We will first find the prime factorization of 69359 and 69372. After we will calculate the factors of 69359 and 69372 and find the biggest common factor number .

Step-1: Prime Factorization of 69359

Prime factors of 69359 are 43, 1613. Prime factorization of 69359 in exponential form is:

69359 = 43¹ × 1613¹

Step-2: Prime Factorization of 69372

Prime factors of 69372 are 2, 3, 41, 47. Prime factorization of 69372 in exponential form is:

69372 = 2² × 3² × 41¹ × 47¹

Step-3: Factors of 69359

List of positive integer factors of 69359 that divides 69359 without a remainder.

1, 43, 1613

Step-4: Factors of 69372

List of positive integer factors of 69372 that divides 69359 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 47, 82, 94, 123, 141, 164, 188, 246, 282, 369, 423, 492, 564, 738, 846, 1476, 1692, 1927, 3854, 5781, 7708, 11562, 17343, 23124, 34686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69359 and 69372. The biggest common factor number is the GCF number.
So the greatest common factor 69359 and 69372 is 1.

Also check out the Least Common Multiple of 69359 and 69372