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What is the Greatest Common Factor of 70118 and 70132?

Greatest common factor (GCF) of 70118 and 70132 is 2.

GCF(70118,70132) = 2

We will now calculate the prime factors of 70118 and 70132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70118 and 70132.

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How to find the GCF of 70118 and 70132?

We will first find the prime factorization of 70118 and 70132. After we will calculate the factors of 70118 and 70132 and find the biggest common factor number .

Step-1: Prime Factorization of 70118

Prime factors of 70118 are 2, 35059. Prime factorization of 70118 in exponential form is:

70118 = 21 × 350591

Step-2: Prime Factorization of 70132

Prime factors of 70132 are 2, 89, 197. Prime factorization of 70132 in exponential form is:

70132 = 22 × 891 × 1971

Step-3: Factors of 70118

List of positive integer factors of 70118 that divides 70118 without a remainder.

1, 2, 35059

Step-4: Factors of 70132

List of positive integer factors of 70132 that divides 70118 without a remainder.

1, 2, 4, 89, 178, 197, 356, 394, 788, 17533, 35066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70118 and 70132. The biggest common factor number is the GCF number.
So the greatest common factor 70118 and 70132 is 2.

Also check out the Least Common Multiple of 70118 and 70132