What is the Greatest Common Factor of 63050 and 63070?

Greatest common factor (GCF) of 63050 and 63070 is 10.

GCF(63050,63070) = 10

We will now calculate the prime factors of 63050 and 63070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63050 and 63070.

How to find the GCF of 63050 and 63070?

We will first find the prime factorization of 63050 and 63070. After we will calculate the factors of 63050 and 63070 and find the biggest common factor number .

Step-1: Prime Factorization of 63050

Prime factors of 63050 are 2, 5, 13, 97. Prime factorization of 63050 in exponential form is:

63050 = 2¹ × 5² × 13¹ × 97¹

Step-2: Prime Factorization of 63070

Prime factors of 63070 are 2, 5, 7, 17, 53. Prime factorization of 63070 in exponential form is:

63070 = 2¹ × 5¹ × 7¹ × 17¹ × 53¹

Step-3: Factors of 63050

List of positive integer factors of 63050 that divides 63050 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 97, 130, 194, 325, 485, 650, 970, 1261, 2425, 2522, 4850, 6305, 12610, 31525

Step-4: Factors of 63070

List of positive integer factors of 63070 that divides 63050 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 53, 70, 85, 106, 119, 170, 238, 265, 371, 530, 595, 742, 901, 1190, 1802, 1855, 3710, 4505, 6307, 9010, 12614, 31535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63050 and 63070. The biggest common factor number is the GCF number.
So the greatest common factor 63050 and 63070 is 10.

Also check out the Least Common Multiple of 63050 and 63070