What is the Greatest Common Factor of 70152 and 70166?

Greatest common factor (GCF) of 70152 and 70166 is 2.

GCF(70152,70166) = 2

We will now calculate the prime factors of 70152 and 70166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70152 and 70166.

How to find the GCF of 70152 and 70166?

We will first find the prime factorization of 70152 and 70166. After we will calculate the factors of 70152 and 70166 and find the biggest common factor number .

Step-1: Prime Factorization of 70152

Prime factors of 70152 are 2, 3, 37, 79. Prime factorization of 70152 in exponential form is:

70152 = 2³ × 3¹ × 37¹ × 79¹

Step-2: Prime Factorization of 70166

Prime factors of 70166 are 2, 35083. Prime factorization of 70166 in exponential form is:

70166 = 2¹ × 35083¹

Step-3: Factors of 70152

List of positive integer factors of 70152 that divides 70152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 79, 111, 148, 158, 222, 237, 296, 316, 444, 474, 632, 888, 948, 1896, 2923, 5846, 8769, 11692, 17538, 23384, 35076

Step-4: Factors of 70166

List of positive integer factors of 70166 that divides 70152 without a remainder.

1, 2, 35083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70152 and 70166. The biggest common factor number is the GCF number.
So the greatest common factor 70152 and 70166 is 2.

Also check out the Least Common Multiple of 70152 and 70166