What is the Greatest Common Factor of 63035 and 63050?

Greatest common factor (GCF) of 63035 and 63050 is 5.

GCF(63035,63050) = 5

We will now calculate the prime factors of 63035 and 63050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63035 and 63050.

How to find the GCF of 63035 and 63050?

We will first find the prime factorization of 63035 and 63050. After we will calculate the factors of 63035 and 63050 and find the biggest common factor number .

Step-1: Prime Factorization of 63035

Prime factors of 63035 are 5, 7, 1801. Prime factorization of 63035 in exponential form is:

63035 = 5¹ × 7¹ × 1801¹

Step-2: 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-3: Factors of 63035

List of positive integer factors of 63035 that divides 63035 without a remainder.

1, 5, 7, 35, 1801, 9005, 12607

Step-4: Factors of 63050

List of positive integer factors of 63050 that divides 63035 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63035 and 63050. The biggest common factor number is the GCF number.
So the greatest common factor 63035 and 63050 is 5.

Also check out the Least Common Multiple of 63035 and 63050