What is the Greatest Common Factor of 42470 and 42490?

Greatest common factor (GCF) of 42470 and 42490 is 10.

GCF(42470,42490) = 10

We will now calculate the prime factors of 42470 and 42490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42470 and 42490.

How to find the GCF of 42470 and 42490?

We will first find the prime factorization of 42470 and 42490. After we will calculate the factors of 42470 and 42490 and find the biggest common factor number .

Step-1: Prime Factorization of 42470

Prime factors of 42470 are 2, 5, 31, 137. Prime factorization of 42470 in exponential form is:

42470 = 2¹ × 5¹ × 31¹ × 137¹

Step-2: Prime Factorization of 42490

Prime factors of 42490 are 2, 5, 7, 607. Prime factorization of 42490 in exponential form is:

42490 = 2¹ × 5¹ × 7¹ × 607¹

Step-3: Factors of 42470

List of positive integer factors of 42470 that divides 42470 without a remainder.

1, 2, 5, 10, 31, 62, 137, 155, 274, 310, 685, 1370, 4247, 8494, 21235

Step-4: Factors of 42490

List of positive integer factors of 42490 that divides 42470 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 607, 1214, 3035, 4249, 6070, 8498, 21245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42470 and 42490. The biggest common factor number is the GCF number.
So the greatest common factor 42470 and 42490 is 10.

Also check out the Least Common Multiple of 42470 and 42490