What is the Greatest Common Factor of 61642 and 61654?

Greatest common factor (GCF) of 61642 and 61654 is 2.

GCF(61642,61654) = 2

We will now calculate the prime factors of 61642 and 61654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61642 and 61654.

How to find the GCF of 61642 and 61654?

We will first find the prime factorization of 61642 and 61654. After we will calculate the factors of 61642 and 61654 and find the biggest common factor number .

Step-1: Prime Factorization of 61642

Prime factors of 61642 are 2, 7, 17, 37. Prime factorization of 61642 in exponential form is:

61642 = 2¹ × 7² × 17¹ × 37¹

Step-2: Prime Factorization of 61654

Prime factors of 61654 are 2, 29, 1063. Prime factorization of 61654 in exponential form is:

61654 = 2¹ × 29¹ × 1063¹

Step-3: Factors of 61642

List of positive integer factors of 61642 that divides 61642 without a remainder.

1, 2, 7, 14, 17, 34, 37, 49, 74, 98, 119, 238, 259, 518, 629, 833, 1258, 1666, 1813, 3626, 4403, 8806, 30821

Step-4: Factors of 61654

List of positive integer factors of 61654 that divides 61642 without a remainder.

1, 2, 29, 58, 1063, 2126, 30827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61642 and 61654. The biggest common factor number is the GCF number.
So the greatest common factor 61642 and 61654 is 2.

Also check out the Least Common Multiple of 61642 and 61654