What is the Greatest Common Factor of 61761 and 61778?

Greatest common factor (GCF) of 61761 and 61778 is 17.

GCF(61761,61778) = 17

We will now calculate the prime factors of 61761 and 61778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61761 and 61778.

How to find the GCF of 61761 and 61778?

We will first find the prime factorization of 61761 and 61778. After we will calculate the factors of 61761 and 61778 and find the biggest common factor number .

Step-1: Prime Factorization of 61761

Prime factors of 61761 are 3, 7, 17, 173. Prime factorization of 61761 in exponential form is:

61761 = 3¹ × 7¹ × 17¹ × 173¹

Step-2: Prime Factorization of 61778

Prime factors of 61778 are 2, 17, 23, 79. Prime factorization of 61778 in exponential form is:

61778 = 2¹ × 17¹ × 23¹ × 79¹

Step-3: Factors of 61761

List of positive integer factors of 61761 that divides 61761 without a remainder.

1, 3, 7, 17, 21, 51, 119, 173, 357, 519, 1211, 2941, 3633, 8823, 20587

Step-4: Factors of 61778

List of positive integer factors of 61778 that divides 61761 without a remainder.

1, 2, 17, 23, 34, 46, 79, 158, 391, 782, 1343, 1817, 2686, 3634, 30889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61761 and 61778. The biggest common factor number is the GCF number.
So the greatest common factor 61761 and 61778 is 17.

Also check out the Least Common Multiple of 61761 and 61778