What is the Greatest Common Factor of 34860 and 34879?

Greatest common factor (GCF) of 34860 and 34879 is 1.

GCF(34860,34879) = 1

We will now calculate the prime factors of 34860 and 34879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34860 and 34879.

How to find the GCF of 34860 and 34879?

We will first find the prime factorization of 34860 and 34879. After we will calculate the factors of 34860 and 34879 and find the biggest common factor number .

Step-1: Prime Factorization of 34860

Prime factors of 34860 are 2, 3, 5, 7, 83. Prime factorization of 34860 in exponential form is:

34860 = 2² × 3¹ × 5¹ × 7¹ × 83¹

Step-2: Prime Factorization of 34879

Prime factors of 34879 are 13, 2683. Prime factorization of 34879 in exponential form is:

34879 = 13¹ × 2683¹

Step-3: Factors of 34860

List of positive integer factors of 34860 that divides 34860 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 83, 84, 105, 140, 166, 210, 249, 332, 415, 420, 498, 581, 830, 996, 1162, 1245, 1660, 1743, 2324, 2490, 2905, 3486, 4980, 5810, 6972, 8715, 11620, 17430

Step-4: Factors of 34879

List of positive integer factors of 34879 that divides 34860 without a remainder.

1, 13, 2683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34860 and 34879. The biggest common factor number is the GCF number.
So the greatest common factor 34860 and 34879 is 1.

Also check out the Least Common Multiple of 34860 and 34879