What is the Greatest Common Factor of 69372 and 69378?

Greatest common factor (GCF) of 69372 and 69378 is 6.

GCF(69372,69378) = 6

We will now calculate the prime factors of 69372 and 69378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69372 and 69378.

How to find the GCF of 69372 and 69378?

We will first find the prime factorization of 69372 and 69378. After we will calculate the factors of 69372 and 69378 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 69378

Prime factors of 69378 are 2, 3, 31, 373. Prime factorization of 69378 in exponential form is:

69378 = 2¹ × 3¹ × 31¹ × 373¹

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 69378

List of positive integer factors of 69378 that divides 69372 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 373, 746, 1119, 2238, 11563, 23126, 34689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69372 and 69378. The biggest common factor number is the GCF number.
So the greatest common factor 69372 and 69378 is 6.

Also check out the Least Common Multiple of 69372 and 69378