What is the Greatest Common Factor of 77050 and 77066?
Greatest common factor (GCF) of 77050 and 77066 is 2.
GCF(77050,77066) = 2
We will now calculate the prime factors of 77050 and 77066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77050 and 77066.
How to find the GCF of 77050 and 77066?
We will first find the prime factorization of 77050 and 77066. After we will calculate the factors of 77050 and 77066 and find the biggest common factor number .
Step-1: Prime Factorization of 77050
Prime factors of 77050 are 2, 5, 23, 67. Prime factorization of 77050 in exponential form is:
77050 = 21 × 52 × 231 × 671
Step-2: Prime Factorization of 77066
Prime factors of 77066 are 2, 11, 31, 113. Prime factorization of 77066 in exponential form is:
77066 = 21 × 111 × 311 × 1131
Step-3: Factors of 77050
List of positive integer factors of 77050 that divides 77050 without a remainder.
1, 2, 5, 10, 23, 25, 46, 50, 67, 115, 134, 230, 335, 575, 670, 1150, 1541, 1675, 3082, 3350, 7705, 15410, 38525
Step-4: Factors of 77066
List of positive integer factors of 77066 that divides 77050 without a remainder.
1, 2, 11, 22, 31, 62, 113, 226, 341, 682, 1243, 2486, 3503, 7006, 38533
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77050 and 77066. The biggest common factor number is the GCF number.
So the greatest common factor 77050 and 77066 is 2.
Also check out the Least Common Multiple of 77050 and 77066
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