What is the Greatest Common Factor of 69199 and 69212?

Greatest common factor (GCF) of 69199 and 69212 is 13.

GCF(69199,69212) = 13

We will now calculate the prime factors of 69199 and 69212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69199 and 69212.

How to find the GCF of 69199 and 69212?

We will first find the prime factorization of 69199 and 69212. After we will calculate the factors of 69199 and 69212 and find the biggest common factor number .

Step-1: Prime Factorization of 69199

Prime factors of 69199 are 13, 5323. Prime factorization of 69199 in exponential form is:

69199 = 13¹ × 5323¹

Step-2: Prime Factorization of 69212

Prime factors of 69212 are 2, 11, 13. Prime factorization of 69212 in exponential form is:

69212 = 2² × 11³ × 13¹

Step-3: Factors of 69199

List of positive integer factors of 69199 that divides 69199 without a remainder.

1, 13, 5323

Step-4: Factors of 69212

List of positive integer factors of 69212 that divides 69199 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 121, 143, 242, 286, 484, 572, 1331, 1573, 2662, 3146, 5324, 6292, 17303, 34606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69199 and 69212. The biggest common factor number is the GCF number.
So the greatest common factor 69199 and 69212 is 13.

Also check out the Least Common Multiple of 69199 and 69212