What is the Greatest Common Factor of 61009 and 61028?

Greatest common factor (GCF) of 61009 and 61028 is 19.

GCF(61009,61028) = 19

We will now calculate the prime factors of 61009 and 61028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61009 and 61028.

How to find the GCF of 61009 and 61028?

We will first find the prime factorization of 61009 and 61028. After we will calculate the factors of 61009 and 61028 and find the biggest common factor number .

Step-1: Prime Factorization of 61009

Prime factors of 61009 are 13, 19. Prime factorization of 61009 in exponential form is:

61009 = 13² × 19²

Step-2: Prime Factorization of 61028

Prime factors of 61028 are 2, 11, 19, 73. Prime factorization of 61028 in exponential form is:

61028 = 2² × 11¹ × 19¹ × 73¹

Step-3: Factors of 61009

List of positive integer factors of 61009 that divides 61009 without a remainder.

1, 13, 19, 169, 247, 361, 3211, 4693

Step-4: Factors of 61028

List of positive integer factors of 61028 that divides 61009 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 73, 76, 146, 209, 292, 418, 803, 836, 1387, 1606, 2774, 3212, 5548, 15257, 30514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61009 and 61028. The biggest common factor number is the GCF number.
So the greatest common factor 61009 and 61028 is 19.

Also check out the Least Common Multiple of 61009 and 61028