What is the Greatest Common Factor of 60990 and 61005?

Greatest common factor (GCF) of 60990 and 61005 is 15.

GCF(60990,61005) = 15

We will now calculate the prime factors of 60990 and 61005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60990 and 61005.

How to find the GCF of 60990 and 61005?

We will first find the prime factorization of 60990 and 61005. After we will calculate the factors of 60990 and 61005 and find the biggest common factor number .

Step-1: Prime Factorization of 60990

Prime factors of 60990 are 2, 3, 5, 19, 107. Prime factorization of 60990 in exponential form is:

60990 = 2¹ × 3¹ × 5¹ × 19¹ × 107¹

Step-2: Prime Factorization of 61005

Prime factors of 61005 are 3, 5, 7, 83. Prime factorization of 61005 in exponential form is:

61005 = 3¹ × 5¹ × 7² × 83¹

Step-3: Factors of 60990

List of positive integer factors of 60990 that divides 60990 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 107, 114, 190, 214, 285, 321, 535, 570, 642, 1070, 1605, 2033, 3210, 4066, 6099, 10165, 12198, 20330, 30495

Step-4: Factors of 61005

List of positive integer factors of 61005 that divides 60990 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 83, 105, 147, 245, 249, 415, 581, 735, 1245, 1743, 2905, 4067, 8715, 12201, 20335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60990 and 61005. The biggest common factor number is the GCF number.
So the greatest common factor 60990 and 61005 is 15.

Also check out the Least Common Multiple of 60990 and 61005