What is the Greatest Common Factor of 73136 and 73142?

Greatest common factor (GCF) of 73136 and 73142 is 2.

GCF(73136,73142) = 2

We will now calculate the prime factors of 73136 and 73142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73136 and 73142.

How to find the GCF of 73136 and 73142?

We will first find the prime factorization of 73136 and 73142. After we will calculate the factors of 73136 and 73142 and find the biggest common factor number .

Step-1: Prime Factorization of 73136

Prime factors of 73136 are 2, 7, 653. Prime factorization of 73136 in exponential form is:

73136 = 2⁴ × 7¹ × 653¹

Step-2: Prime Factorization of 73142

Prime factors of 73142 are 2, 36571. Prime factorization of 73142 in exponential form is:

73142 = 2¹ × 36571¹

Step-3: Factors of 73136

List of positive integer factors of 73136 that divides 73136 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 653, 1306, 2612, 4571, 5224, 9142, 10448, 18284, 36568

Step-4: Factors of 73142

List of positive integer factors of 73142 that divides 73136 without a remainder.

1, 2, 36571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73136 and 73142. The biggest common factor number is the GCF number.
So the greatest common factor 73136 and 73142 is 2.

Also check out the Least Common Multiple of 73136 and 73142