What is the Greatest Common Factor of 52654 and 52661?

Greatest common factor (GCF) of 52654 and 52661 is 7.

GCF(52654,52661) = 7

We will now calculate the prime factors of 52654 and 52661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52654 and 52661.

How to find the GCF of 52654 and 52661?

We will first find the prime factorization of 52654 and 52661. After we will calculate the factors of 52654 and 52661 and find the biggest common factor number .

Step-1: Prime Factorization of 52654

Prime factors of 52654 are 2, 7, 3761. Prime factorization of 52654 in exponential form is:

52654 = 2¹ × 7¹ × 3761¹

Step-2: Prime Factorization of 52661

Prime factors of 52661 are 7, 7523. Prime factorization of 52661 in exponential form is:

52661 = 7¹ × 7523¹

Step-3: Factors of 52654

List of positive integer factors of 52654 that divides 52654 without a remainder.

1, 2, 7, 14, 3761, 7522, 26327

Step-4: Factors of 52661

List of positive integer factors of 52661 that divides 52654 without a remainder.

1, 7, 7523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52654 and 52661. The biggest common factor number is the GCF number.
So the greatest common factor 52654 and 52661 is 7.

Also check out the Least Common Multiple of 52654 and 52661