What is the Greatest Common Factor of 61692 and 61702?

Greatest common factor (GCF) of 61692 and 61702 is 2.

GCF(61692,61702) = 2

We will now calculate the prime factors of 61692 and 61702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61692 and 61702.

How to find the GCF of 61692 and 61702?

We will first find the prime factorization of 61692 and 61702. After we will calculate the factors of 61692 and 61702 and find the biggest common factor number .

Step-1: Prime Factorization of 61692

Prime factors of 61692 are 2, 3, 53, 97. Prime factorization of 61692 in exponential form is:

61692 = 2² × 3¹ × 53¹ × 97¹

Step-2: Prime Factorization of 61702

Prime factors of 61702 are 2, 30851. Prime factorization of 61702 in exponential form is:

61702 = 2¹ × 30851¹

Step-3: Factors of 61692

List of positive integer factors of 61692 that divides 61692 without a remainder.

1, 2, 3, 4, 6, 12, 53, 97, 106, 159, 194, 212, 291, 318, 388, 582, 636, 1164, 5141, 10282, 15423, 20564, 30846

Step-4: Factors of 61702

List of positive integer factors of 61702 that divides 61692 without a remainder.

1, 2, 30851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61692 and 61702. The biggest common factor number is the GCF number.
So the greatest common factor 61692 and 61702 is 2.

Also check out the Least Common Multiple of 61692 and 61702