What is the Greatest Common Factor of 70972 and 70980?

Greatest common factor (GCF) of 70972 and 70980 is 4.

GCF(70972,70980) = 4

We will now calculate the prime factors of 70972 and 70980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70972 and 70980.

How to find the GCF of 70972 and 70980?

We will first find the prime factorization of 70972 and 70980. After we will calculate the factors of 70972 and 70980 and find the biggest common factor number .

Step-1: Prime Factorization of 70972

Prime factors of 70972 are 2, 11, 1613. Prime factorization of 70972 in exponential form is:

70972 = 2² × 11¹ × 1613¹

Step-2: Prime Factorization of 70980

Prime factors of 70980 are 2, 3, 5, 7, 13. Prime factorization of 70980 in exponential form is:

70980 = 2² × 3¹ × 5¹ × 7¹ × 13²

Step-3: Factors of 70972

List of positive integer factors of 70972 that divides 70972 without a remainder.

1, 2, 4, 11, 22, 44, 1613, 3226, 6452, 17743, 35486

Step-4: Factors of 70980

List of positive integer factors of 70980 that divides 70972 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 169, 182, 195, 210, 260, 273, 338, 364, 390, 420, 455, 507, 546, 676, 780, 845, 910, 1014, 1092, 1183, 1365, 1690, 1820, 2028, 2366, 2535, 2730, 3380, 3549, 4732, 5070, 5460, 5915, 7098, 10140, 11830, 14196, 17745, 23660, 35490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70972 and 70980. The biggest common factor number is the GCF number.
So the greatest common factor 70972 and 70980 is 4.

Also check out the Least Common Multiple of 70972 and 70980