What is the Greatest Common Factor of 70142 and 70151?

Greatest common factor (GCF) of 70142 and 70151 is 1.

GCF(70142,70151) = 1

We will now calculate the prime factors of 70142 and 70151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70142 and 70151.

How to find the GCF of 70142 and 70151?

We will first find the prime factorization of 70142 and 70151. After we will calculate the factors of 70142 and 70151 and find the biggest common factor number .

Step-1: Prime Factorization of 70142

Prime factors of 70142 are 2, 17, 2063. Prime factorization of 70142 in exponential form is:

70142 = 2¹ × 17¹ × 2063¹

Step-2: Prime Factorization of 70151

Prime factors of 70151 are 29, 41, 59. Prime factorization of 70151 in exponential form is:

70151 = 29¹ × 41¹ × 59¹

Step-3: Factors of 70142

List of positive integer factors of 70142 that divides 70142 without a remainder.

1, 2, 17, 34, 2063, 4126, 35071

Step-4: Factors of 70151

List of positive integer factors of 70151 that divides 70142 without a remainder.

1, 29, 41, 59, 1189, 1711, 2419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70142 and 70151. The biggest common factor number is the GCF number.
So the greatest common factor 70142 and 70151 is 1.

Also check out the Least Common Multiple of 70142 and 70151