What is the Greatest Common Factor of 42050 and 42070?

Greatest common factor (GCF) of 42050 and 42070 is 10.

GCF(42050,42070) = 10

We will now calculate the prime factors of 42050 and 42070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42050 and 42070.

How to find the GCF of 42050 and 42070?

We will first find the prime factorization of 42050 and 42070. After we will calculate the factors of 42050 and 42070 and find the biggest common factor number .

Step-1: Prime Factorization of 42050

Prime factors of 42050 are 2, 5, 29. Prime factorization of 42050 in exponential form is:

42050 = 2¹ × 5² × 29²

Step-2: Prime Factorization of 42070

Prime factors of 42070 are 2, 5, 7, 601. Prime factorization of 42070 in exponential form is:

42070 = 2¹ × 5¹ × 7¹ × 601¹

Step-3: Factors of 42050

List of positive integer factors of 42050 that divides 42050 without a remainder.

1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 841, 1450, 1682, 4205, 8410, 21025

Step-4: Factors of 42070

List of positive integer factors of 42070 that divides 42050 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 601, 1202, 3005, 4207, 6010, 8414, 21035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42050 and 42070. The biggest common factor number is the GCF number.
So the greatest common factor 42050 and 42070 is 10.

Also check out the Least Common Multiple of 42050 and 42070