What is the Greatest Common Factor of 61674 and 61693?

Greatest common factor (GCF) of 61674 and 61693 is 19.

GCF(61674,61693) = 19

We will now calculate the prime factors of 61674 and 61693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61674 and 61693.

How to find the GCF of 61674 and 61693?

We will first find the prime factorization of 61674 and 61693. After we will calculate the factors of 61674 and 61693 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 61693

Prime factors of 61693 are 17, 19, 191. Prime factorization of 61693 in exponential form is:

61693 = 17¹ × 19¹ × 191¹

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 61693

List of positive integer factors of 61693 that divides 61674 without a remainder.

1, 17, 19, 191, 323, 3247, 3629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61674 and 61693. The biggest common factor number is the GCF number.
So the greatest common factor 61674 and 61693 is 19.

Also check out the Least Common Multiple of 61674 and 61693