What is the Greatest Common Factor of 76020 and 76034?

Greatest common factor (GCF) of 76020 and 76034 is 14.

GCF(76020,76034) = 14

We will now calculate the prime factors of 76020 and 76034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76020 and 76034.

How to find the GCF of 76020 and 76034?

We will first find the prime factorization of 76020 and 76034. After we will calculate the factors of 76020 and 76034 and find the biggest common factor number .

Step-1: Prime Factorization of 76020

Prime factors of 76020 are 2, 3, 5, 7, 181. Prime factorization of 76020 in exponential form is:

76020 = 2² × 3¹ × 5¹ × 7¹ × 181¹

Step-2: Prime Factorization of 76034

Prime factors of 76034 are 2, 7, 5431. Prime factorization of 76034 in exponential form is:

76034 = 2¹ × 7¹ × 5431¹

Step-3: Factors of 76020

List of positive integer factors of 76020 that divides 76020 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 181, 210, 362, 420, 543, 724, 905, 1086, 1267, 1810, 2172, 2534, 2715, 3620, 3801, 5068, 5430, 6335, 7602, 10860, 12670, 15204, 19005, 25340, 38010

Step-4: Factors of 76034

List of positive integer factors of 76034 that divides 76020 without a remainder.

1, 2, 7, 14, 5431, 10862, 38017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76020 and 76034. The biggest common factor number is the GCF number.
So the greatest common factor 76020 and 76034 is 14.

Also check out the Least Common Multiple of 76020 and 76034