What is the Greatest Common Factor of 95837 and 95844?
Greatest common factor (GCF) of 95837 and 95844 is 7.
GCF(95837,95844) = 7
We will now calculate the prime factors of 95837 and 95844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95837 and 95844.
How to find the GCF of 95837 and 95844?
We will first find the prime factorization of 95837 and 95844. After we will calculate the factors of 95837 and 95844 and find the biggest common factor number .
Step-1: Prime Factorization of 95837
Prime factors of 95837 are 7, 13691. Prime factorization of 95837 in exponential form is:
95837 = 71 × 136911
Step-2: Prime Factorization of 95844
Prime factors of 95844 are 2, 3, 7, 163. Prime factorization of 95844 in exponential form is:
95844 = 22 × 31 × 72 × 1631
Step-3: Factors of 95837
List of positive integer factors of 95837 that divides 95837 without a remainder.
1, 7, 13691
Step-4: Factors of 95844
List of positive integer factors of 95844 that divides 95837 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 163, 196, 294, 326, 489, 588, 652, 978, 1141, 1956, 2282, 3423, 4564, 6846, 7987, 13692, 15974, 23961, 31948, 47922
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 95837 and 95844. The biggest common factor number is the GCF number.
So the greatest common factor 95837 and 95844 is 7.
Also check out the Least Common Multiple of 95837 and 95844
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