What is the Greatest Common Factor of 67630 and 67648?

Greatest common factor (GCF) of 67630 and 67648 is 2.

GCF(67630,67648) = 2

We will now calculate the prime factors of 67630 and 67648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67630 and 67648.

How to find the GCF of 67630 and 67648?

We will first find the prime factorization of 67630 and 67648. After we will calculate the factors of 67630 and 67648 and find the biggest common factor number .

Step-1: Prime Factorization of 67630

Prime factors of 67630 are 2, 5, 6763. Prime factorization of 67630 in exponential form is:

67630 = 2¹ × 5¹ × 6763¹

Step-2: Prime Factorization of 67648

Prime factors of 67648 are 2, 7, 151. Prime factorization of 67648 in exponential form is:

67648 = 2⁶ × 7¹ × 151¹

Step-3: Factors of 67630

List of positive integer factors of 67630 that divides 67630 without a remainder.

1, 2, 5, 10, 6763, 13526, 33815

Step-4: Factors of 67648

List of positive integer factors of 67648 that divides 67630 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 151, 224, 302, 448, 604, 1057, 1208, 2114, 2416, 4228, 4832, 8456, 9664, 16912, 33824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67630 and 67648. The biggest common factor number is the GCF number.
So the greatest common factor 67630 and 67648 is 2.

Also check out the Least Common Multiple of 67630 and 67648