What is the Greatest Common Factor of 42470 and 42480?

Greatest common factor (GCF) of 42470 and 42480 is 10.

GCF(42470,42480) = 10

We will now calculate the prime factors of 42470 and 42480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42470 and 42480.

How to find the GCF of 42470 and 42480?

We will first find the prime factorization of 42470 and 42480. After we will calculate the factors of 42470 and 42480 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 42480

Prime factors of 42480 are 2, 3, 5, 59. Prime factorization of 42480 in exponential form is:

42480 = 2⁴ × 3² × 5¹ × 59¹

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 42480

List of positive integer factors of 42480 that divides 42470 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 59, 60, 72, 80, 90, 118, 120, 144, 177, 180, 236, 240, 295, 354, 360, 472, 531, 590, 708, 720, 885, 944, 1062, 1180, 1416, 1770, 2124, 2360, 2655, 2832, 3540, 4248, 4720, 5310, 7080, 8496, 10620, 14160, 21240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42470 and 42480. The biggest common factor number is the GCF number.
So the greatest common factor 42470 and 42480 is 10.

Also check out the Least Common Multiple of 42470 and 42480