What is the Greatest Common Factor of 64142 and 64150?

Greatest common factor (GCF) of 64142 and 64150 is 2.

GCF(64142,64150) = 2

We will now calculate the prime factors of 64142 and 64150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64142 and 64150.

How to find the GCF of 64142 and 64150?

We will first find the prime factorization of 64142 and 64150. After we will calculate the factors of 64142 and 64150 and find the biggest common factor number .

Step-1: Prime Factorization of 64142

Prime factors of 64142 are 2, 13, 2467. Prime factorization of 64142 in exponential form is:

64142 = 2¹ × 13¹ × 2467¹

Step-2: Prime Factorization of 64150

Prime factors of 64150 are 2, 5, 1283. Prime factorization of 64150 in exponential form is:

64150 = 2¹ × 5² × 1283¹

Step-3: Factors of 64142

List of positive integer factors of 64142 that divides 64142 without a remainder.

1, 2, 13, 26, 2467, 4934, 32071

Step-4: Factors of 64150

List of positive integer factors of 64150 that divides 64142 without a remainder.

1, 2, 5, 10, 25, 50, 1283, 2566, 6415, 12830, 32075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64142 and 64150. The biggest common factor number is the GCF number.
So the greatest common factor 64142 and 64150 is 2.

Also check out the Least Common Multiple of 64142 and 64150