What is the Greatest Common Factor of 61674 and 61682?

Greatest common factor (GCF) of 61674 and 61682 is 2.

GCF(61674,61682) = 2

We will now calculate the prime factors of 61674 and 61682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61674 and 61682.

How to find the GCF of 61674 and 61682?

We will first find the prime factorization of 61674 and 61682. After we will calculate the factors of 61674 and 61682 and find the biggest common factor number .

Step-1: Prime Factorization of 61674

Prime factors of 61674 are 2, 3, 19, 541. Prime factorization of 61674 in exponential form is:

61674 = 2¹ × 3¹ × 19¹ × 541¹

Step-2: Prime Factorization of 61682

Prime factors of 61682 are 2, 30841. Prime factorization of 61682 in exponential form is:

61682 = 2¹ × 30841¹

Step-3: Factors of 61674

List of positive integer factors of 61674 that divides 61674 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 541, 1082, 1623, 3246, 10279, 20558, 30837

Step-4: Factors of 61682

List of positive integer factors of 61682 that divides 61674 without a remainder.

1, 2, 30841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61674 and 61682. The biggest common factor number is the GCF number.
So the greatest common factor 61674 and 61682 is 2.

Also check out the Least Common Multiple of 61674 and 61682