What is the Greatest Common Factor of 3185 and 3192?

Greatest common factor (GCF) of 3185 and 3192 is 7.

GCF(3185,3192) = 7

We will now calculate the prime factors of 3185 and 3192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3185 and 3192.

How to find the GCF of 3185 and 3192?

We will first find the prime factorization of 3185 and 3192. After we will calculate the factors of 3185 and 3192 and find the biggest common factor number .

Step-1: Prime Factorization of 3185

Prime factors of 3185 are 5, 7, 13. Prime factorization of 3185 in exponential form is:

3185 = 5¹ × 7² × 13¹

Step-2: Prime Factorization of 3192

Prime factors of 3192 are 2, 3, 7, 19. Prime factorization of 3192 in exponential form is:

3192 = 2³ × 3¹ × 7¹ × 19¹

Step-3: Factors of 3185

List of positive integer factors of 3185 that divides 3185 without a remainder.

1, 5, 7, 13, 35, 49, 65, 91, 245, 455, 637

Step-4: Factors of 3192

List of positive integer factors of 3192 that divides 3185 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 24, 28, 38, 42, 56, 57, 76, 84, 114, 133, 152, 168, 228, 266, 399, 456, 532, 798, 1064, 1596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3185 and 3192. The biggest common factor number is the GCF number.
So the greatest common factor 3185 and 3192 is 7.

Also check out the Least Common Multiple of 3185 and 3192