What is the Greatest Common Factor of 90951 and 90958?

Greatest common factor (GCF) of 90951 and 90958 is 7.

GCF(90951,90958) = 7

We will now calculate the prime factors of 90951 and 90958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90951 and 90958.

How to find the GCF of 90951 and 90958?

We will first find the prime factorization of 90951 and 90958. After we will calculate the factors of 90951 and 90958 and find the biggest common factor number .

Step-1: Prime Factorization of 90951

Prime factors of 90951 are 3, 7, 61, 71. Prime factorization of 90951 in exponential form is:

90951 = 3¹ × 7¹ × 61¹ × 71¹

Step-2: Prime Factorization of 90958

Prime factors of 90958 are 2, 7, 73, 89. Prime factorization of 90958 in exponential form is:

90958 = 2¹ × 7¹ × 73¹ × 89¹

Step-3: Factors of 90951

List of positive integer factors of 90951 that divides 90951 without a remainder.

1, 3, 7, 21, 61, 71, 183, 213, 427, 497, 1281, 1491, 4331, 12993, 30317

Step-4: Factors of 90958

List of positive integer factors of 90958 that divides 90951 without a remainder.

1, 2, 7, 14, 73, 89, 146, 178, 511, 623, 1022, 1246, 6497, 12994, 45479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90951 and 90958. The biggest common factor number is the GCF number.
So the greatest common factor 90951 and 90958 is 7.

Also check out the Least Common Multiple of 90951 and 90958