What is the Greatest Common Factor of 61985 and 61996?

Greatest common factor (GCF) of 61985 and 61996 is 11.

GCF(61985,61996) = 11

We will now calculate the prime factors of 61985 and 61996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61985 and 61996.

How to find the GCF of 61985 and 61996?

We will first find the prime factorization of 61985 and 61996. After we will calculate the factors of 61985 and 61996 and find the biggest common factor number .

Step-1: Prime Factorization of 61985

Prime factors of 61985 are 5, 7, 11, 23. Prime factorization of 61985 in exponential form is:

61985 = 5¹ × 7² × 11¹ × 23¹

Step-2: Prime Factorization of 61996

Prime factors of 61996 are 2, 11, 1409. Prime factorization of 61996 in exponential form is:

61996 = 2² × 11¹ × 1409¹

Step-3: Factors of 61985

List of positive integer factors of 61985 that divides 61985 without a remainder.

1, 5, 7, 11, 23, 35, 49, 55, 77, 115, 161, 245, 253, 385, 539, 805, 1127, 1265, 1771, 2695, 5635, 8855, 12397

Step-4: Factors of 61996

List of positive integer factors of 61996 that divides 61985 without a remainder.

1, 2, 4, 11, 22, 44, 1409, 2818, 5636, 15499, 30998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61985 and 61996. The biggest common factor number is the GCF number.
So the greatest common factor 61985 and 61996 is 11.

Also check out the Least Common Multiple of 61985 and 61996