What is the Greatest Common Factor of 69372 and 69379?

Greatest common factor (GCF) of 69372 and 69379 is 1.

GCF(69372,69379) = 1

We will now calculate the prime factors of 69372 and 69379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69372 and 69379.

How to find the GCF of 69372 and 69379?

We will first find the prime factorization of 69372 and 69379. After we will calculate the factors of 69372 and 69379 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69379

Prime factors of 69379 are 69379. Prime factorization of 69379 in exponential form is:

69379 = 69379¹

Step-3: Factors of 69372

List of positive integer factors of 69372 that divides 69372 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

Step-4: Factors of 69379

List of positive integer factors of 69379 that divides 69372 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69372 and 69379. The biggest common factor number is the GCF number.
So the greatest common factor 69372 and 69379 is 1.

Also check out the Least Common Multiple of 69372 and 69379