What is the Greatest Common Factor of 48860 and 48867?

Greatest common factor (GCF) of 48860 and 48867 is 7.

GCF(48860,48867) = 7

We will now calculate the prime factors of 48860 and 48867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48860 and 48867.

How to find the GCF of 48860 and 48867?

We will first find the prime factorization of 48860 and 48867. After we will calculate the factors of 48860 and 48867 and find the biggest common factor number .

Step-1: Prime Factorization of 48860

Prime factors of 48860 are 2, 5, 7, 349. Prime factorization of 48860 in exponential form is:

48860 = 2² × 5¹ × 7¹ × 349¹

Step-2: Prime Factorization of 48867

Prime factors of 48867 are 3, 7, 13, 179. Prime factorization of 48867 in exponential form is:

48867 = 3¹ × 7¹ × 13¹ × 179¹

Step-3: Factors of 48860

List of positive integer factors of 48860 that divides 48860 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 349, 698, 1396, 1745, 2443, 3490, 4886, 6980, 9772, 12215, 24430

Step-4: Factors of 48867

List of positive integer factors of 48867 that divides 48860 without a remainder.

1, 3, 7, 13, 21, 39, 91, 179, 273, 537, 1253, 2327, 3759, 6981, 16289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48860 and 48867. The biggest common factor number is the GCF number.
So the greatest common factor 48860 and 48867 is 7.

Also check out the Least Common Multiple of 48860 and 48867