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What is the Greatest Common Factor of 52217 and 52228?

Greatest common factor (GCF) of 52217 and 52228 is 11.

GCF(52217,52228) = 11

We will now calculate the prime factors of 52217 and 52228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52217 and 52228.

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How to find the GCF of 52217 and 52228?

We will first find the prime factorization of 52217 and 52228. After we will calculate the factors of 52217 and 52228 and find the biggest common factor number .

Step-1: Prime Factorization of 52217

Prime factors of 52217 are 11, 47, 101. Prime factorization of 52217 in exponential form is:

52217 = 111 × 471 × 1011

Step-2: Prime Factorization of 52228

Prime factors of 52228 are 2, 11, 1187. Prime factorization of 52228 in exponential form is:

52228 = 22 × 111 × 11871

Step-3: Factors of 52217

List of positive integer factors of 52217 that divides 52217 without a remainder.

1, 11, 47, 101, 517, 1111, 4747

Step-4: Factors of 52228

List of positive integer factors of 52228 that divides 52217 without a remainder.

1, 2, 4, 11, 22, 44, 1187, 2374, 4748, 13057, 26114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52217 and 52228. The biggest common factor number is the GCF number.
So the greatest common factor 52217 and 52228 is 11.

Also check out the Least Common Multiple of 52217 and 52228