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What is the Greatest Common Factor of 70248 and 70268?

Greatest common factor (GCF) of 70248 and 70268 is 4.

GCF(70248,70268) = 4

We will now calculate the prime factors of 70248 and 70268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70248 and 70268.

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How to find the GCF of 70248 and 70268?

We will first find the prime factorization of 70248 and 70268. After we will calculate the factors of 70248 and 70268 and find the biggest common factor number .

Step-1: Prime Factorization of 70248

Prime factors of 70248 are 2, 3, 2927. Prime factorization of 70248 in exponential form is:

70248 = 23 × 31 × 29271

Step-2: Prime Factorization of 70268

Prime factors of 70268 are 2, 11, 1597. Prime factorization of 70268 in exponential form is:

70268 = 22 × 111 × 15971

Step-3: Factors of 70248

List of positive integer factors of 70248 that divides 70248 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2927, 5854, 8781, 11708, 17562, 23416, 35124

Step-4: Factors of 70268

List of positive integer factors of 70268 that divides 70248 without a remainder.

1, 2, 4, 11, 22, 44, 1597, 3194, 6388, 17567, 35134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70248 and 70268. The biggest common factor number is the GCF number.
So the greatest common factor 70248 and 70268 is 4.

Also check out the Least Common Multiple of 70248 and 70268