What is the Greatest Common Factor of 77650 and 77654?
Greatest common factor (GCF) of 77650 and 77654 is 2.
GCF(77650,77654) = 2
We will now calculate the prime factors of 77650 and 77654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77650 and 77654.
How to find the GCF of 77650 and 77654?
We will first find the prime factorization of 77650 and 77654. After we will calculate the factors of 77650 and 77654 and find the biggest common factor number .
Step-1: Prime Factorization of 77650
Prime factors of 77650 are 2, 5, 1553. Prime factorization of 77650 in exponential form is:
77650 = 21 × 52 × 15531
Step-2: Prime Factorization of 77654
Prime factors of 77654 are 2, 41, 947. Prime factorization of 77654 in exponential form is:
77654 = 21 × 411 × 9471
Step-3: Factors of 77650
List of positive integer factors of 77650 that divides 77650 without a remainder.
1, 2, 5, 10, 25, 50, 1553, 3106, 7765, 15530, 38825
Step-4: Factors of 77654
List of positive integer factors of 77654 that divides 77650 without a remainder.
1, 2, 41, 82, 947, 1894, 38827
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77650 and 77654. The biggest common factor number is the GCF number.
So the greatest common factor 77650 and 77654 is 2.
Also check out the Least Common Multiple of 77650 and 77654
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