What is the Greatest Common Factor of 67130 and 67138?

Greatest common factor (GCF) of 67130 and 67138 is 2.

GCF(67130,67138) = 2

We will now calculate the prime factors of 67130 and 67138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67130 and 67138.

How to find the GCF of 67130 and 67138?

We will first find the prime factorization of 67130 and 67138. After we will calculate the factors of 67130 and 67138 and find the biggest common factor number .

Step-1: Prime Factorization of 67130

Prime factors of 67130 are 2, 5, 7, 137. Prime factorization of 67130 in exponential form is:

67130 = 2¹ × 5¹ × 7² × 137¹

Step-2: Prime Factorization of 67138

Prime factors of 67138 are 2, 33569. Prime factorization of 67138 in exponential form is:

67138 = 2¹ × 33569¹

Step-3: Factors of 67130

List of positive integer factors of 67130 that divides 67130 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 137, 245, 274, 490, 685, 959, 1370, 1918, 4795, 6713, 9590, 13426, 33565

Step-4: Factors of 67138

List of positive integer factors of 67138 that divides 67130 without a remainder.

1, 2, 33569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67130 and 67138. The biggest common factor number is the GCF number.
So the greatest common factor 67130 and 67138 is 2.

Also check out the Least Common Multiple of 67130 and 67138