What is the Greatest Common Factor of 53662 and 53678?

Greatest common factor (GCF) of 53662 and 53678 is 2.

GCF(53662,53678) = 2

We will now calculate the prime factors of 53662 and 53678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53662 and 53678.

How to find the GCF of 53662 and 53678?

We will first find the prime factorization of 53662 and 53678. After we will calculate the factors of 53662 and 53678 and find the biggest common factor number .

Step-1: Prime Factorization of 53662

Prime factors of 53662 are 2, 7, 3833. Prime factorization of 53662 in exponential form is:

53662 = 2¹ × 7¹ × 3833¹

Step-2: Prime Factorization of 53678

Prime factors of 53678 are 2, 26839. Prime factorization of 53678 in exponential form is:

53678 = 2¹ × 26839¹

Step-3: Factors of 53662

List of positive integer factors of 53662 that divides 53662 without a remainder.

1, 2, 7, 14, 3833, 7666, 26831

Step-4: Factors of 53678

List of positive integer factors of 53678 that divides 53662 without a remainder.

1, 2, 26839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53662 and 53678. The biggest common factor number is the GCF number.
So the greatest common factor 53662 and 53678 is 2.

Also check out the Least Common Multiple of 53662 and 53678