What is the Greatest Common Factor of 60990 and 61000?

Greatest common factor (GCF) of 60990 and 61000 is 10.

GCF(60990,61000) = 10

We will now calculate the prime factors of 60990 and 61000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60990 and 61000.

How to find the GCF of 60990 and 61000?

We will first find the prime factorization of 60990 and 61000. After we will calculate the factors of 60990 and 61000 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 61000

Prime factors of 61000 are 2, 5, 61. Prime factorization of 61000 in exponential form is:

61000 = 2³ × 5³ × 61¹

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 61000

List of positive integer factors of 61000 that divides 60990 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 61, 100, 122, 125, 200, 244, 250, 305, 488, 500, 610, 1000, 1220, 1525, 2440, 3050, 6100, 7625, 12200, 15250, 30500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60990 and 61000. The biggest common factor number is the GCF number.
So the greatest common factor 60990 and 61000 is 10.

Also check out the Least Common Multiple of 60990 and 61000