What is the Greatest Common Factor of 69212 and 69226?

Greatest common factor (GCF) of 69212 and 69226 is 2.

GCF(69212,69226) = 2

We will now calculate the prime factors of 69212 and 69226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69212 and 69226.

How to find the GCF of 69212 and 69226?

We will first find the prime factorization of 69212 and 69226. After we will calculate the factors of 69212 and 69226 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69226

Prime factors of 69226 are 2, 34613. Prime factorization of 69226 in exponential form is:

69226 = 2¹ × 34613¹

Step-3: Factors of 69212

List of positive integer factors of 69212 that divides 69212 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

Step-4: Factors of 69226

List of positive integer factors of 69226 that divides 69212 without a remainder.

1, 2, 34613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69212 and 69226. The biggest common factor number is the GCF number.
So the greatest common factor 69212 and 69226 is 2.

Also check out the Least Common Multiple of 69212 and 69226